Doom is coming to PlayStation 4, Xbox One and PC Spring 2016, Bethesda announced during its E3 2015 press conference.
Last year, Bethesda announced that owners of Wolfenstein: The New Order would gain access to the Doom beta. We don't know when the beta will start but we'll let you know as soon as more information comes to hand.
Pre-ordering Wolfenstein on PS3 grants access to the PS4 Doom beta and doesn't require a PS Plus subscription to participate. Pre-ordering the Xbox 360 or Xbox One versions gets you into the Xbox One beta, although you'll need an Xbox Live Gold membership to get into the action.